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Finding the Fourth Proportional to 2,113.95, 3,169.80 and 652.71

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Solution

The fourth proportional to 2,113.95, 3,169.80 and 652.71 is: 978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.95 : 3,169.80 = 652.71 : x
  2. Step 2: Convert to fraction form
    2,113.95/3,169.80 = 652.71/x
  3. Step 3: Cross multiply
    2,113.95x = 3,169.80 × 652.71
  4. Step 4: Simplify right side
    2,113.95x = 2,068,960.16
  5. Step 5: Solve for x
    x = 2,068,960.16/2,113.95
  6. Step 6: Final answer
    x = 978.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.